Optimal estimates for lower and upper bounds of approximation errors in the p-version of the finite element method in two dimensions

Authors
Babuska, I Guo, BQ
Citation
I. Babuska et Bq. Guo, Optimal estimates for lower and upper bounds of approximation errors in the p-version of the finite element method in two dimensions, NUMER MATH, 85(2), 2000, pp. 219-255
Citations number
13
Categorie Soggetti
Mathematics
Journal title
NUMERISCHE MATHEMATIK
ISSN journal
0029599X → ACNP
Volume
85
Issue
2
Year of publication
2000
Pages
219 - 255
Database
ISI
SICI code
0029-599X(200004)85:2<219:OEFLAU>2.0.ZU;2-J
Abstract
This paper will analyze the lower and upper error bounds of the finite elem ent solution of the p-version for linear elliptic problems in polygonal dom ains. The optimal rate of convergence is rigorously proved based on the sha rp estimates of lower and upper bounds of the approximation error. Mathemat ics Subject Classification (1991): 65N30.